Abstract
Certain questions about the range of finite embeddings of a finite amalgam were discussed in [3]. Another pertinent question is the following.If a finite reduced amalgam has both an infinite and a finite embedding, does it have a maximal finite embedding such that all other finite embeddings are its homomorphic images? We give a counter example to answer this question in the negative. The finite amalgam considered will involve a group from the family of groups of the type (l, m; n, k) discussed by Coxeter [2] having the following presentationThese groups may be regarded as factor groups ofwhich is known to be finite ifand infinite otherwise.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. The abstract groups Gm,n,p;Coxeter;Trans Amer. Math. Soc.,1939
2. On embeddable finite amalgams of groups